Answer:
3^4
Step-by-step explanation:
Simplifying an expression with expression with exponents:
If they are dividing, we keep the base and subtract the exponents. For example:
In this question:
In general, you cannot prove that because it is not true.
2 is rational. √2 is not.
The volume of the rectangular prism with the dimensions given are as follows:
v = 72 inches³
v = 36 inches³
v = 80 inches³
v = 54 inches³
<h3>Volume of a rectangular prism</h3>
where
l = length
w = width
h = height
Therefore,
a.
- v = 4 × 3 × 6 = 72 inches³
b.
- v = 6 × 3 × 2 = 36 inches³
c.
- v = 4 × 5 × 4 = 80 inches³
d.
- v = 2 × 9 × 3 = 54 inches³
learn more on rectangular prism here: brainly.com/question/13512346
Since sin(2x)=2sinxcosx, we can plug that in to get sin(4x)=2sin(2x)cos(2x)=2*2sinxcosxcos(2x)=4sinxcosxcos(2x). Since cos(2x) = cos^2x-sin^2x, we plug that in. In addition, cos4x=cos^2(2x)-sin^2(2x). Next, since cos^2x=(1+cos(2x))/2 and sin^2x= (1-cos(2x))/2, we plug those in to end up with 4sinxcosxcos(2x)-((1+cos(2x))/2-(1-cos(2x))/2)
=4sinxcosxcos(2x)-(2cos(2x)/2)=4sinxcosxcos(2x)-cos(2x)
=cos(2x)*(4sinxcosx-1). Since sinxcosx=sin(2x), we plug that back in to end up with cos(2x)*(4sin(2x)-1)
